Leader-follower strategies for robotic patrolling in environments with arbitrary topologies

Game theoretic approaches to patrolling have become a topic of increasing interest in the very last years. They mainly refer to a patrolling mobile robot that preserves an environment from intrusions. These approaches allow for the development of patrolling strategies that consider the possible actions of the intruder in deciding where the robot should move. Usually, it is supposed that the intruder can hide and observe the actions of the patroller before intervening. This leads to the adoption of a leader-follower solution concept. In this paper, mostly theoretical in its nature, we propose an approach to determine optimal leader-follower strategies for a mobile robot patrolling an environment. Differently from previous works in literature, our approach can be applied to environments with arbitrary topologies.

[1]  G. Nemhauser,et al.  Integer Programming , 2020 .

[2]  A. Rubinstein Perfect Equilibrium in a Bargaining Model , 1982 .

[3]  David M. Kreps,et al.  Sequential Equilibria Author ( s ) : , 1982 .

[4]  Drew Fudenberg,et al.  Game theory (3. pr.) , 1991 .

[5]  Mokhtar S. Bazaraa,et al.  Nonlinear Programming: Theory and Algorithms , 1993 .

[6]  Brian W. Kernighan,et al.  AMPL: A Modeling Language for Mathematical Programming , 1993 .

[7]  D. Koller,et al.  Efficient Computation of Equilibria for Extensive Two-Person Games , 1996 .

[8]  S. Shankar Sastry,et al.  Probabilistic pursuit-evasion games: theory, implementation, and experimental evaluation , 2002, IEEE Trans. Robotics Autom..

[9]  B. Stengel,et al.  Leadership with commitment to mixed strategies , 2004 .

[10]  Sampath Kannan,et al.  Randomized pursuit-evasion in a polygonal environment , 2005, IEEE Transactions on Robotics.

[11]  Vincent Conitzer,et al.  Computing the optimal strategy to commit to , 2006, EC '06.

[12]  Sarit Kraus,et al.  Security in multiagent systems by policy randomization , 2006, AAMAS '06.

[13]  Sarit Kraus,et al.  An efficient heuristic approach for security against multiple adversaries , 2007, AAMAS '07.

[14]  Elbert E. N. Macau,et al.  Patrol Mobile Robots and Chaotic Trajectories , 2007 .

[15]  Francesco Amigoni,et al.  A Game-Theoretic Approach to Determining Efficient Patrolling Strategies for Mobile Robots , 2008, 2008 IEEE/WIC/ACM International Conference on Web Intelligence and Intelligent Agent Technology.

[16]  Nicola Gatti Game Theoretical Insights in Strategic Patrolling: Model and Algorithm in Normal-Form , 2008, ECAI.

[17]  Sarit Kraus,et al.  Playing games for security: an efficient exact algorithm for solving Bayesian Stackelberg games , 2008, AAMAS.

[18]  Sarit Kraus,et al.  Deployed ARMOR protection: the application of a game theoretic model for security at the Los Angeles International Airport , 2008, AAMAS 2008.

[19]  Sarit Kraus,et al.  Multi-robot perimeter patrol in adversarial settings , 2008, 2008 IEEE International Conference on Robotics and Automation.

[20]  Aaas News,et al.  “A and B”: , 2019, Sophonisba Breckinridge.